Answer:
[tex]2\frac{7}{9}[/tex]
Step-by-step explanation:
In order to get the answer to this question you must change the mixed number into a improper fraction then multiply the improper fraction as many times as it's exponent.
[tex]1\frac{2}{3} ^3[/tex]
Turn the mixed number into a improper fraction:
[tex]1\frac{2}{3} =\frac{5}{3}[/tex]
[tex]=\frac{5}{3}^3[/tex]
[tex]\frac{5}{3} ^3=\frac{5}{3} \times\frac{5}{3} \times\frac{5}{3}[/tex]
Now multiply:
[tex]\frac{5}{3} \times\frac{5}{3} =\frac{25}{9}[/tex]
[tex]\frac{25}{9} \times\frac{5}{3} =\frac{75}{27}[/tex]
Turn the improper fraction into a mixed number:
[tex]\frac{75}{27} =2\frac{7}{9}[/tex]
[tex]=2\frac{7}{9}[/tex]
Hope this helps.
